Spectrum and decay properties of the charmed mesons involving the coupled channel effects

The mass spectrum of the charmed mesons is investigated by considering the coupled channel effects within the nonrelativistic potential model. The predicted masses of the charmed mesons are in agreement with experimental data. The strong decay properties are further analyzed within the <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mrow><a:mmultiscripts><a:mrow><a:msub><a:mrow><a:mi>P</a:mi></a:mrow><a:mrow><a:mn>0</a:mn></a:mrow></a:msub></a:mrow><a:mprescripts/><a:none/><a:mrow><a:mn>3</a:mn></a:mrow></a:mmultiscripts></a:mrow></a:math> model by using numerical wave functions obtained from the nonrelativistic potential model. Based on the predicted masses and decay properties, we give a classification of the recently observed charmed states. Especially, we have effectively explained the masses and decay properties of the <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"><c:msubsup><c:mi>D</c:mi><c:mn>1</c:mn><c:mo>*</c:mo></c:msubsup><c:mo stretchy="false">(</c:mo><c:mn>2600</c:mn><c:mo stretchy="false">)</c:mo></c:math> and <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" display="inline"><g:msubsup><g:mi>D</g:mi><g:mn>1</g:mn><g:mo>*</g:mo></g:msubsup><g:mo stretchy="false">(</g:mo><g:mn>2760</g:mn><g:mo stretchy="false">)</g:mo></g:math> by considering the <k:math xmlns:k="http://www.w3.org/1998/Math/MathML" display="inline"><k:mi>S</k:mi><k:mo>−</k:mo><k:mi>D</k:mi></k:math> mixing. Furthermore, the predicted masses and decay properties of the <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" display="inline"><m:mn>2</m:mn><m:mi>P</m:mi></m:math> wave states are helpful to search for them experimentally in future.